Search a number
-
+
5296497024 = 273721359367
BaseRepresentation
bin1001110111011001…
…00010000110000000
3111200010021221000110
410323230202012000
541321400401044
62233322151320
7245152324200
oct47354420600
914603257013
105296497024
112278809675
121039952540
13665401110
14383602400
1520eec26b9
hex13bb22180

5296497024 has 384 divisors, whose sum is σ = 17972236800. Its totient is φ = 1369460736.

The previous prime is 5296497023. The next prime is 5296497049. The reversal of 5296497024 is 4207946925.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5296497023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14431689 + ... + 14432055.

It is an arithmetic number, because the mean of its divisors is an integer number (46802700).

Almost surely, 25296497024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5296497024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8986118400).

5296497024 is an abundant number, since it is smaller than the sum of its proper divisors (12675739776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5296497024 is a wasteful number, since it uses less digits than its factorization.

5296497024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 5296497024 is about 72777.0363782423. The cubic root of 5296497024 is about 1743.1291980165.

The spelling of 5296497024 in words is "five billion, two hundred ninety-six million, four hundred ninety-seven thousand, twenty-four".